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Superposition is an essential feature of quantum mechanics. From the Schrodinger's cat to quantum algorithms such as Deutsch-Jorsza algorithm, quantum superposition plays an important role. It is one fundamental and crucial question how to…

Quantum Physics · Physics 2025-07-15 Hai Wang

A symmetry-preserving, reduced-order state observer is presented for the unmeasured part of a system's state, where the nonlinear system dynamics exhibit symmetry under the action of a Lie group. Leveraging this symmetry with a moving…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Jeremy W. Hopwood , Craig A. Woolsey

Persistent homology and persistent entropy have recently become useful tools for patter recognition. In this paper, we find requirements under which persistent entropy is stable to small perturbations in the input data and scale invariant.…

Information Theory · Computer Science 2020-06-22 N. Atienza , R. Gonzalez-Diaz , M. Soriano-Trigueros

In this paper, we consider partially observable timed automata endowed with a single clock. A time interval is associated with each transition specifying at which clock values it may occur. In addition, a resetting condition associated to a…

Formal Languages and Automata Theory · Computer Science 2024-09-10 Chao Gao , Dimitri Lefebvre , Carla Seatzu , Zhiwu Li , Alessandro Giua

In order to guarantee that a supervised system satisfies safety requirements of the specification, as well as requirements saying that in certain states certain events must be enabled, this paper introduces required events for discrete…

Formal Languages and Automata Theory · Computer Science 2026-05-12 Yu Wang , Zhaohui Zhu , Rob van Glabbeek , Jinjin Zhang , Yixuan Li

This paper investigates the fundamental information-theoretic limits for the control and sensing of noiseless linear dynamical systems subject to a broad class of nonlinear observations. We analyze the interactions between the control and…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Ming Li , Fan Liu , Yifeng Xiong , Jie Xu , Tao Liu

In this paper we investigate multi-agent discrete-event systems with partial observation. The agents can be divided into several groups in each of which the agents have similar (isomorphic) state transition structures, and thus can be…

Systems and Control · Electrical Eng. & Systems 2021-03-22 Yingying Liu , Jan Komenda , Zhiwu Li

This paper investigates the $H_{2}/H_{\infty}$ control problem for linear stochastic differential systems under partial observation. Unlike existing studies that assume full state accessibility, we consider the scenario where the controller…

Optimization and Control · Mathematics 2026-04-24 Changwang Xiao , Nan Yang , Qingxin Meng

In this paper, we are concerned with a stochastic optimal control problem of mean-field type under partial observation, where the state equation is governed by the controlled nonlinear mean-field stochastic differential equation, moreover…

Optimization and Control · Mathematics 2016-11-15 Maonin Tang , Qingxin Meng

Recently we developed partial-observation supervisor localization, a top-down approach to distributed control of discrete-event systems (DES) under partial observation. Its essence is the decomposition of the partial-observation monolithic…

Systems and Control · Computer Science 2017-08-30 Renyuan Zhang , Kai Cai

Due to the appearance of uncontrollable events in discrete event systems, one may wish to replace the behavior leading to the uncontrollability of pre-specified language by some quite similar one. To capture this similarity, we introduce…

Discrete Mathematics · Computer Science 2007-05-23 Yongzhi Cao , Mingsheng Ying

It has been observed that linearizability, the prevalent consistency condition for implementing concurrent objects, does not preserve some probability distributions. A stronger condition, called strong linearizability has been proposed, but…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-30 Hagit Attiya , Constantin Enea

Anomaly detection aims to identify observations that deviate from expected behavior. Because anomalous events are inherently sparse, most frameworks are trained exclusively on normal data to learn a single reference model of normality. This…

For a general class of translationally invariant systems with a specific category of nonlinearity in the output, this paper presents necessary and sufficient conditions for global observability. Critically, this class of systems cannot be…

Dynamical Systems · Mathematics 2022-10-11 Eduardo D. Sontag , Debojyoti Biswas , Noah J. Cowan

Autonomous control systems use various sensors to decrease the amount of uncertainty under which they operate. While providing partial observation of the current state of the system, sensors require resources such as energy, time and…

Logic in Computer Science · Computer Science 2016-02-29 Eva Tesarova , Maria Svorenova , Jiri Barnat , Ivana Cerna

In this review/tutorial article, we present recent progress on optimal control of partially observed Markov Decision Processes (POMDPs). We first present regularity and continuity conditions for POMDPs and their belief-MDP reductions, where…

Optimization and Control · Mathematics 2025-01-03 Ali Devran Kara , Serdar Yuksel

For two causal structures with the same set of visible variables, one is said to observationally dominate the other if the set of distributions over the visible variables realizable by the first contains the set of distributions over the…

Machine Learning · Statistics 2025-02-24 Marina Maciel Ansanelli , Elie Wolfe , Robert W. Spekkens

We analyse stability of observability estimates for solutions to wave and Scr\" odinger equations subjected to additive perturbations. The paper generalises the recent averaged observability/control result by allowing for systems consisting…

Analysis of PDEs · Mathematics 2015-02-04 Martin Lazar

Minimal input/output selection is investigated in this paper for each subsystem of a networked system. Some novel sufficient conditions are derived respectively for the controllability and observability of a networked system, as well as…

Optimization and Control · Mathematics 2019-10-15 Tong Zhou

Partial orders are used extensively for modeling and analyzing concurrent computations. In this paper, we define two properties of partially ordered sets: width-extensibility and interleaving-consistency, and show that a partial order can…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-10-07 Himanshu Chauhan , Vijay K. Garg